Exercise 6.12 Consider the problem of generating a dynamic belief network given a particular discretization of time and given a representation in terms of transition time, and the state transition, as in Section 6.5.5 (page 274). Suppose that there is an exponential distribution of how long each variable remains in a state and that the half-life of each variable value is specified. Give the dynamic belief network representation, assuming only a single transition in each time step.